Inequalities involving multivariate convex functions

DOI10.1016/0022-247X(89)90262-XzbMath0672.26010OpenAlexW2136311878MaRDI QIDQ1120014

Josip E. Pečarić, Edward Neuman

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90262-x

zbMATH Keywords

Hadamard's inequalitymultivariate convex functionsdivided difference inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

Companions of Hermite-Hadamard Inequality for Convex Functions (II) ⋮ Moments of Dirichlet splines and their applications to hypergeometric functions ⋮ A sequence of mappings associated with the Hermite-Hadamard inequalities and applications. ⋮ The converse of the Hermite-Hadamard inequality on simplices ⋮ Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ Some triple integral inequalities for functions defined on three-dimensional bodies via Gauss-Ostrogradsky identity ⋮ REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX

Cites Work

• Some divided difference inequalities for n-convex functions
• Multivariate interpolation and the Radon transform
• A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
• An inequality for 3-convex functions
• A divided difference inequality for n-convex functions
• Some Inequalities for Hypergeometric Functions
• Analytic Inequalities
• Jensen’s inequality
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